Calculus and Analytic Geometry I
Calculus and Analytic Geometry I MATH 1823
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This 7 page Class Notes was uploaded by Einar Nitzsche on Monday October 26, 2015. The Class Notes belongs to MATH 1823 at University of Oklahoma taught by Max Forester in Fall. Since its upload, it has received 9 views. For similar materials see /class/229288/math-1823-university-of-oklahoma in Mathematics (M) at University of Oklahoma.
Reviews for Calculus and Analytic Geometry I
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Date Created: 10/26/15
Sp 04 MATH 1823 020 Calculus I Dr Noel Brady Friday 04162004 Name Midterm 830am 920am student ID S Instructions H E0 00 r No calculators or notes Attempt all ve numbered questions Do not write on back of exam sheets Extra paper is available Show all the steps of your work Clearly The method reasoning used to obtain an answer is worth more than the answer itself Question Points Your Score Q1 6 Q2 8 Q3 17 Q4 12 Q5 12 TOTAL 55 Q1 6 points Write down the differential dy of the function y Use the differential above to give an estimate for V1002 Q2 8 points Compute the absolute maximum and minimum values of the function f sinx cosm on the interval Om3 Q3 15 points Sketch the graph of the function f 3x5 5x3 Include all the information that you can learn from f and f by answering the questions below You have an extra page overleaf H Compute f E0 Compute f z 9 lntervals where f is increasing r lntervals where f is decreasing U lntervals where f is concave up 03 lntervals where f is concave down 5 Critical points local maxmin7 neither 00 Points of in ection 3 and y intercepts Extra space for Q3 Q4 10 points Find the maximum volume of a right7 Circular cylinder which can be inscribed inside a right7 Circular cone of base radius R and height H Your answer will involve R and H Q5 10 points A 10 foot long ladder rests against a vertical wall as shown in the diagram Suppose that the end of the ladder is pulled away from the base of the wall at a constant rate of 2ftsec Determine the rate of Change of the angle that the ladder makes with the vertical wall at the instant when the foot of the ladder is 6ft from the base of the wall Bonus Question Show that the equation 12zz34z50 has exactly one real root
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